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faust18 [17]
3 years ago
13

To earn a fitness reward, your average heart rate while walking must be between 80 and 89 beats per minute, inclusive. Suppose y

ou recorded 85, 81, and 87 beats per minute on your first three recordings. What are the possible heart rates you can have on the fourth and final recording in order to earn a fitness reward?

Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

Between 67 and 103 beats per minute

Step-by-step explanation:

The minimum would be 80. That means that the minimum sum would have to be 320 among the four numbers.

85+81+87=253

320-253=67 so 67 will be the minimum

now, we should see the maximum. It will be 89 so the sum of the four numbers cannot be anymore than 89*4 which is 356

So, 356-253=103

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A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and
Papessa [141]

Answer:

1 : 1

Step-by-step explanation:

When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.

Let the radius of sphere is r.

height of cylinder, h = 2r

radius of cylinder = r

Surface area of sphere, A = 4πr²

lateral surface area of cylinder, A' = 2 πrh

A' = 2πr x 2r = 4πr²

The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.

5 0
3 years ago
The dot plot shows the number of pencils each boy has at his desk in class.
Elanso [62]

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

3 0
3 years ago
The total cost of $4 sharpeners and $7 folders is $30.05. If the cost of a sharpener is $a, and a folder is $2.80 more expensive
raketka [301]

9514 1404 393

Answer:

  a = $0.95

Step-by-step explanation:

The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...

  4a +7(a+2.80) = 30.05

  11a = 10.45 . . . . . . . . . . . subtract 19.60

  a = 0.95 . . . . . . . . . . . divide by 11

The cost of a sharpener is a = $0.95.

7 0
2 years ago
Convert the following Celsius degrees to Fahrenheit.
Nat2105 [25]

Answer:

a 95

b 932

c 50

d 131

Step-by-step explanation:

formula (C × 9/5) + 32 = F

3 0
2 years ago
The perimeter of a regular hexagon is ninety-six centimetres. Find the length of each side.​
rusak2 [61]

Answer:

54cm, which is one side length

Step-by-step explanation:

The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm

Hope It Helps!

8 0
3 years ago
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